Question Number 114075 by bemath last updated on 17/Sep/20

Answered by john santu last updated on 17/Sep/20

setting (1/x)=b ∧b→0 lim_(b→0) ((1/(sin b)) − ((cos b)/(sin b))) = lim_(b→0) (((2sin ^2 ((1/2)b))/(sin b))) = 0

Answered by Olaf last updated on 17/Sep/20

= lim_(x→∞) ((1/(((1/x))))−((1−(1/2)((1/x))^2 )/(1/x))) = lim_(x→∞) (x−x+(1/(2x))) = 0